Rate of Change

Front

What is the rate of change?

Back

The rate of change is a measure of how much a quantity changes in relation to another quantity. It is often represented as the slope of a line in a graph.

Front

Rate of Change is the same as Slope.

Back

True

Front

What does the equation y = 75x represent?

Back

It represents a proportional relationship where the rate of change (slope) is 75.

Front

How do you find the rate of change from a table of values?

Back

Calculate the difference in the y-values divided by the difference in the x-values for two points.

Front

What is a constant of proportionality?

Back

It is the constant value that relates two proportional quantities, often represented as 'k' in the equation y = kx.

Front

If the rate of change is -3, what does this indicate about the relationship?

Back

It indicates that as one quantity increases, the other quantity decreases.

Front

What is the slope of a line that rises 3 units for every 1 unit it runs?

Back

The slope is 3.

Front

What does a slope of 0 indicate?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in the y-value as the x-value changes.

Front

What is the formula for calculating slope?

Back

Slope (m) = (change in y) / (change in x) = (y2 - y1) / (x2 - x1).

Front

If a line has a slope of 1/3, what does this mean?

Back

For every 3 units you move horizontally, you move up 1 unit vertically.